Problem

$17: 53$
Sparx
a Abdul Sam... MENU
Bookwork code: K27
Emilie wants to travel 240 miles. How much would the cheaper taxi journey cost her?
Give your answer in pounds $(£)$.
Taxi $A$
Was $£ 45$ per 40 miles
Now $15 \%$ off!
Taxi B
$90 \mathrm{p}$ per mile
< Back
Watch video
Answer $> $
AA
sparxmaths.uk

Answer

Expert–verified
Hide Steps
Answer

\boxed{216}

Steps

Step 1 :Calculate the discounted price per 40 miles for Taxi A: \(45 - 0.15 \times 45 = 38.25\)

Step 2 :Find the cost per mile for Taxi A: \(\frac{38.25}{40} = 0.95625\)

Step 3 :Calculate the total cost for Taxi A for 240 miles: \(0.95625 \times 240 = 229.5\)

Step 4 :Calculate the total cost for Taxi B for 240 miles: \(0.9 \times 240 = 216\)

Step 5 :\boxed{216}

link_gpt